Analysis of the flow in layered fluids at small, but finite, amplitude with application to mullion structures

Raymond C. Fletcher

doi:10.1016/0040-1951(82)90116-0

Analysis of the flow in layered fluids at small, but finite, amplitude with application to mullion structures

Raymond C. Fletcher

Earth and Environmental Systems Institute

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

An analysis of the flow in layered viscous fluids at small, but finite amplitude is illustrated in an application to the shortening of two different viscous fluids parallel to their interface. The analysis extends the familiar infinitesimal amplitude analysis, which retains terms to first-order in the surface slope, to second-order in this quantity. To second-order accuracy, the asymmetry in interface form characteristic of the finite-amplitude lobe-and-cusp structure emerges. Additional results for mullion structures are derived and used to interpret some natural structures.

Original language	English (US)
Pages (from-to)	51-66
Number of pages	16
Journal	Tectonophysics
Volume	81
Issue number	1-2
DOIs	https://doi.org/10.1016/0040-1951(82)90116-0
State	Published - Jan 1 1982

All Science Journal Classification (ASJC) codes

Geophysics
Earth-Surface Processes

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10.1016/0040-1951(82)90116-0

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title = "Analysis of the flow in layered fluids at small, but finite, amplitude with application to mullion structures",

abstract = "An analysis of the flow in layered viscous fluids at small, but finite amplitude is illustrated in an application to the shortening of two different viscous fluids parallel to their interface. The analysis extends the familiar infinitesimal amplitude analysis, which retains terms to first-order in the surface slope, to second-order in this quantity. To second-order accuracy, the asymmetry in interface form characteristic of the finite-amplitude lobe-and-cusp structure emerges. Additional results for mullion structures are derived and used to interpret some natural structures.",

author = "Fletcher, {Raymond C.}",

note = "Funding Information: I thank Arvid Johnson, Gerhard Oertel, and an anonymous reviewer for perceptive, helpful reviews. This work was supported by National Science Foundation grant EAR-76-81502.",

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AU - Fletcher, Raymond C.

N1 - Funding Information: I thank Arvid Johnson, Gerhard Oertel, and an anonymous reviewer for perceptive, helpful reviews. This work was supported by National Science Foundation grant EAR-76-81502.

PY - 1982/1/1

Y1 - 1982/1/1

N2 - An analysis of the flow in layered viscous fluids at small, but finite amplitude is illustrated in an application to the shortening of two different viscous fluids parallel to their interface. The analysis extends the familiar infinitesimal amplitude analysis, which retains terms to first-order in the surface slope, to second-order in this quantity. To second-order accuracy, the asymmetry in interface form characteristic of the finite-amplitude lobe-and-cusp structure emerges. Additional results for mullion structures are derived and used to interpret some natural structures.

AB - An analysis of the flow in layered viscous fluids at small, but finite amplitude is illustrated in an application to the shortening of two different viscous fluids parallel to their interface. The analysis extends the familiar infinitesimal amplitude analysis, which retains terms to first-order in the surface slope, to second-order in this quantity. To second-order accuracy, the asymmetry in interface form characteristic of the finite-amplitude lobe-and-cusp structure emerges. Additional results for mullion structures are derived and used to interpret some natural structures.

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ER -

Analysis of the flow in layered fluids at small, but finite, amplitude with application to mullion structures

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